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Listed under:  Mathematics  >  Algebra  >  Mathematical expressions  >  Polynomials  >  Quadratics
Teacher resource

Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

Interactive resource

EagleCat: parabola

Explore the graphs of quadratic equations in two forms: (a) the turning point form, y = a(x – h)² + k, and (b) the intercept form, y = (x – a)(x – b). Observe changes to the turning point and the shape of parabolic graphs through various transformations. Alternately, change the equation and observe changes in the x-intercepts ...

Image

Parkes Observatory during Moonwalk, 1969

This is a black-and-white photograph of Australian and American scientists at Australia's National Radio Astronomy Observatory at Parkes, New South Wales, during the Apollo 11 Moon landing in July 1969. Four men are grouped in front of a bank of instruments and dials. From front to back are Wilson Hunter, National Aeronautics ...

Teacher resource

TIMES Module 33: Number and Algebra: factorisation - teacher guide

This is a 17-page guide for teachers. It continues the discussion of factorisation. In particular, the techniques for the factorisation of quadratic expressions are presented.

Teacher resource

TIMES Module 34: Number and Algebra: quadratic equations - teacher guide

This is a 19-page guide for teachers. It introduces quadratic equations and methods for solving them.

Teacher resource

TIMES Module 35: Number and Algebra: the quadratic function - teacher guide

This is a 29-page guide for teachers. It introduces graphing of quadratic functions.

Interactive Resource

Algebra four

This is an interactive game for two students in which they solve algebraic equations, similar to 'Connect four'. The players can choose from problems that are one- or two-step, quadratic, have distributive properties or have variables on both sides, and more than one problem type can be chosen. The length of time each player ...

Teacher resource

Algebra review

This teacher resource is particularly relevant for the topic Functions and graphs of the Australian Curriculum subject Mathematical Methods and will also serve as a review of Australian Curriculum F-10 algebra for existing year 11 subjects that contain material on functions, algebra and calculus. A brief history of algebraic ...

Teacher resource

Quadratics

This is a teacher resource for quadratics consisting of a website and a PDF with identical content. The website contains a number of screencasts discussing the solutions of exercises, a number of interactives demonstrating properties of quadratics and accompanying screencasts describing the interactives. The resource contains ...

Interactive Resource

Solving quadratic equations

A short introduction to quadratic equations and how they are solved.

Interactive Resource

Graphing calculator by Desmos - iTunes app

Plot functions, create tables, add sliders and animate your graphs. Touch points of interest on the graph to show maximums, minimums and points of intersection. Type in an equation and watch the calculator solve the problem. Free when reviewed on 12/5/2015.

Interactive Resource

Desmos Graphing Calculator - Google Play app

Plot functions, create tables, add sliders and animate your graphs. Touch points of interest on the graph to show maximums, minimums and points of intersection. Type in an equation and watch the calculator solve the problem. Free when reviewed on 12/5/2015.

Teacher resource

reSolve: Pythagoras' Theorem - Bent bamboo

This lesson challenges students to use Pythagoras' Theorem to solve a problem from an ancient Chinese text. They make physical models of the problem and use this to construct a graph. They use algebra skills associated with binomial expansions and simplification of fractions to show that the general solution given in the ...

Teacher resource

reSolve: Real World Algebra: Quadratic Functions

This sequence of three lessons explores different representations of quadratic functions, with particular emphasis on turning points in quadratic graphs. Students use images of trajectories, inscribe their own curves using Geogebra and then further explore the algebraic representation of their curves. Each lesson is outlined ...